标题： 准周期振荡约束带有闵可夫斯基核心的黑洞参数 显示英文标题

标题： Parameter constraints on a black hole with Minkowski core through quasiperiodic oscillations

摘要： 我们研究了带电粒子在具有闵可夫斯基核心的规则黑洞附近的测地运动，并嵌入均匀磁场中，探讨了磁场和规则黑洞参数对粒子轨道的径向有效势和角动量的影响。 我们扰动圆轨道并分析了缓周期振荡的特征频率，这些频率与围绕黑洞的吸积盘的拟周期振荡（QPOs）现象密切相关。 然后使用MCMC模拟，我们将理论结果与四个观测到的QPO事件（GRO J1655-40、XTE J1550-564、XTE J1859+226和GRS 1915+105）进行拟合，并对磁场强度$B$、特征半径$r$、质量$M$和规则黑洞参数$g$提供了限制。 特别是，由于参数$g$描述了偏离经典史瓦西黑洞的程度，我们的研究表明，在一定置信水平内，当前模型中的黑洞可以偏离史瓦西黑洞的经典奇点结构，并在核心附近表现出量子修正。 显示英文摘要

摘要： We investigate the geodesic motion of charged particles in the vicinity of regular black holes with a Minkowski core, embedded in a uniform magnetic field, and study the influences of magnetic field and regular black hole parameter on the radial effective potential and angular momentum of the particles' orbits. We perturb the circular orbit and analyze the characteristic frequencies of the epicyclic oscillations, which are closely related with the quasiperiodic oscillations (QPOs) phenomena of the accretion disc surrounding the black hole. Then using the MCMC simulation, we fit our theoretical results with four observational QPOs events (GRO J1655-40, XTE J1550-564, XTE J1859+226, and GRS 1915+105) and provide constraints on the magnetic field strength $B$, the characteristic radius $r$, the mass $M$, and the regular black hole parameter $g$. In particular, since the parameter $g$ describes the degree of deviation from the classical Schwarzschild black hole, our studies suggest that, within a certain level of confidence, the black holes in the current model can deviate from the classical singularity structure of Schwarzschild black holes, and exhibit quantum corrections near the core.